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1063edo: Difference between revisions

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Created page with "{{Infobox ET}} {{EDO intro|1063}} == Theory == 1063et tempers out 2401/2400 in the 7-limit; 95703125/95664294, 26214400/26198073, 78675968/78594219, 1953125/1951488, 1879..."
 
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
 
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1063}}
{{ED intro}}


== Theory ==
== Theory ==
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
! rowspan="2" |[[Subgroup]]
! rowspan="2" |[[Comma list|Comma List]]
! rowspan="2" |[[Mapping]]
! rowspan="2" |Optimal<br>8ve Stretch (¢)
! colspan="2" |Tuning Error
|-
![[TE error|Absolute]] (¢)
![[TE simple badness|Relative]] (%)
|-
|-
|2.3
! rowspan="2" | [[Subgroup]]
|{{monzo|1685 -1063}}
! rowspan="2" | [[Comma list]]
|{{mapping|1063 1685}}
! rowspan="2" | [[Mapping]]
| -0.0658
! rowspan="2" | Optimal<br />8ve stretch (¢)
! colspan="2" | Tuning error
|-
! [[TE error|Absolute]] (¢)
! [[TE simple badness|Relative]] (%)
|-
| 2.3
| {{monzo|1685 -1063}}
| {{mapping|1063 1685}}
| −0.0658
| 0.0658
| 0.0658
| 5.83
| 5.83
|-
|-
|2.3.5
| 2.3.5
|{{monzo|-20 -24 25}}, {{monzo|77 -31 -12}}
| {{monzo|-20 -24 25}}, {{monzo|77 -31 -12}}
|{{mapping|1063 1685 2468}}
| {{mapping|1063 1685 2468}}
| -0.0099
| −0.0099
| 0.0956
| 0.0956
| 8.47
| 8.47
|-
|-
|2.3.5.7
| 2.3.5.7
|2401/2400, 3500000000/3486784401, 3367254360064/3363025078125
| 2401/2400, 3500000000/3486784401, 3367254360064/3363025078125
|{{mapping|1063 1685 2468 2984}}
| {{mapping|1063 1685 2468 2984}}
| +0.0144
| +0.0144
| 0.0930
| 0.0930
| 8.24
| 8.24
|-
|-
|2.3.5.7.11
| 2.3.5.7.11
|2401/2400, 19712/19683, 43923/43904, 1953125/1951488
| 2401/2400, 19712/19683, 43923/43904, 1953125/1951488
|{{mapping|1063 1685 2468 2984 3677}}
| {{mapping|1063 1685 2468 2984 3677}}
| +0.0361
| +0.0361
| 0.0937
| 0.0937
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=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
|+Table of rank-2 temperaments by generator
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
! Periods<br>per 8ve
|-
! Periods<br />per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio*
! Associated<br />ratio*
! Temperaments
! Temperaments
|-
|-
|1
| 1
|229\1063
| 229\1063
|258.514
| 258.514
|{{monzo|-32 13 5}}
| {{monzo|-32 13 5}}
|[[Lafa]]
| [[Lafa]]
|-
|-
|1
| 1
|280\1063
| 280\1063
|316.087
| 316.087
|6/5
| 6/5
|[[Counterhanson]]
| [[Counterhanson]]
|}
|}
<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
== Music ==
; [[Francium]]
* "Interlude" from ''hope in dark times'' (2024) – [https://open.spotify.com/track/5jf2rJgqeFTYNmbZgopI3e Spotify] | [https://francium223.bandcamp.com/track/interlude Bandcamp] | [https://www.youtube.com/watch?v=oKVRo72Jhzg YouTube]
* ''1063'' (2024) &ndash; [https://open.spotify.com/album/2J338pHEIYcB5GBDCCbChg Spotify] | [https://francium223.bandcamp.com/album/1063 Bandcamp] | [https://www.youtube.com/playlist?list=PLLZE7hMjEXRbvsZ972acZMd-RZ097Zb4a YouTube] – 5-piece EP in 1063edo


<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
[[Category:Listen]]
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